The goal of this paper is to prove a qualitative unique continuation property at two points in time for a stochastic heat equation with a randomly perturbed potential, which can be considered as a variant of Hardy’s uncertainty principle for stochastic heat evolutions.
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DOI : 10.1051/cocv/2019009
Keywords: Hardy uncertainty principle, unique continuation, stochastic heat equation
@article{COCV_2020__26_1_A9_0,
author = {Fern\'andez-Bertolin, Aingeru and Zhong, Jie},
title = {Hardy{\textquoteright}s uncertainty principle and unique continuation property for stochastic heat equations},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
year = {2020},
publisher = {EDP Sciences},
volume = {26},
doi = {10.1051/cocv/2019009},
mrnumber = {4064470},
zbl = {1442.35567},
language = {en},
url = {https://www.numdam.org/articles/10.1051/cocv/2019009/}
}
TY - JOUR AU - Fernández-Bertolin, Aingeru AU - Zhong, Jie TI - Hardy’s uncertainty principle and unique continuation property for stochastic heat equations JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2020 VL - 26 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/cocv/2019009/ DO - 10.1051/cocv/2019009 LA - en ID - COCV_2020__26_1_A9_0 ER -
%0 Journal Article %A Fernández-Bertolin, Aingeru %A Zhong, Jie %T Hardy’s uncertainty principle and unique continuation property for stochastic heat equations %J ESAIM: Control, Optimisation and Calculus of Variations %D 2020 %V 26 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/cocv/2019009/ %R 10.1051/cocv/2019009 %G en %F COCV_2020__26_1_A9_0
Fernández-Bertolin, Aingeru; Zhong, Jie. Hardy’s uncertainty principle and unique continuation property for stochastic heat equations. ESAIM: Control, Optimisation and Calculus of Variations, Tome 26 (2020), article no. 9. doi: 10.1051/cocv/2019009
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